I'm a lurker and joined the forum just to post this so OP doesn't get over confident just because they have AWD.
Some of the advice here is not completely relevant for California if you're going through mountain passes (i.e. on the way to Tahoe, Mammoth Lakes, and the Western Sierras just in general).
The CHP reserves the right to turn people away in chain control areas, even if you have AWD/4WD. They even reserve the right to check if you are carrying chains/cables in the car if you're travelling in a region that is known for severe weather conditions. The reality is that if you have M+S tires or actual winter tires on your car and you need chains, the CHP will outright close the road before that happens, but you're still required by law to have them.
Lastly, AWD doesn't help you turn on ice, which is the real danger of winter driving. AWD just helps you accelerate up to speed quicker in low traction situations and the heft and clearance of the vehicle helps you maintain momentum in snow. AWD doesn't help with braking. It doesn't matter how many drive wheels you have if there's zero traction available. The most important thing is the tire type and the condition that they're in, not how many drive axles you have or how heavy your car is.
If it's really bad out, postpone your trip or time your departure to not put you and your family in a bad spot. As someone who has worked at a ski resort before (so I had to drive many miles in the snow, regardless of the condition), every weekend you see way too many people that bit off more than they can chew, and it's usually people that think that just having AWD on their car/truck is more than sufficient to keep it out of a snowbank.
Check this site before you leave and type in the highways you're travelling on:
http://www.dot.ca.gov/hq/roadinfo/wo.htm
Source:
http://www.dot.ca.gov/trafficops/trucks/chains.html
This part is overkill for the OP if they're just looking to play around in the snow one weekend, but I'll include it anyway:
If you are going to do a lot of winter driving (even of the course of a few years), invest in a second set of cheap wheels and mount a set of winter tires. Winter tires (like Bridgestone Blizzaks) are a softer compound that grip a bit better on ice and snow, have tread & sipes that are better suited for snow, and do not turn into hard bricks during freezing conditions. On the contrast, that means they will wear out prematurely in non-winter conditions and are typically noisier. But if you need to get from point A to point B in heavy snow frequently and delays are unacceptable, it's a solid investment.